a) [5×1 marks] Suppose f : R ? Z where f (x) = é2x – 1ù.
i. Is f one-to-one? Explain.
ii. If A = {x | 1 ? x ? 4}, find f (A).
iii. If B = {3, 4, 5, 6, 7}, find f (B).
iv. If C = {-9, -8}, find f- -1(C).
v. If D = {0.4, 0.5, 0.6}, find f -1(D).
b) [5×1 marks] Prove or disprove each of the following:
i. The sum of two primes is a prime.
ii. If p and q are primes (> 2), then p + q is composite.
iii. If a ? b (mod 2m), then a
OR
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